Answer:
- 6x³ - 1
Step-by-step explanation:
Substitute x = g(x) into f(x), that is
(f ￮ g)(x)
= f(x³ )
= - 6(x³) - 1
= - 6x³ - 1
You would need to take 500 * .52 = 260 next take 260 * .25 to find how many cats like fish which equals 65, the probability that it likes fish and it sleeps inside can be found by taking .52 * .25 = .13 so there would be a 13% chance of picking a cat that sleeps indoors and likes fish, 435 cats dont like fish found by taking 500-65=435 and finally to find how many cats sleep outside take 500-260=240 then take 240 * .625 = 150 then 240-150 = 90 so 90 cats like to sleep outside and like fish thats it!=) Hope this helps!
When 
, we have
and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for 
, that
Now for 
, we have
so we know the left side is at least divisible by 
by our assumption.
It remains to show that
which is easily done with Fermat's little theorem. It says
where 
is prime and 
is any integer. Then for any positive integer 
,
Furthermore,
which goes all the way down to
So, we find that
QED
